Formal models for relative adic spaces
Algebraic Geometry
2025-07-16 v1 Number Theory
Abstract
We extend Raynaud's theory of formal models from rigid-analytic spaces over a nonarchimedean field to uniform qcqs adic spaces , with no finite-type assumptions, over an arbitrary Tate affinoid base . The key new ingredient is the notion of a normalized formal blow-up which takes on the role played by admissible formal blow-ups in the classical theory.
Keywords
Cite
@article{arxiv.2507.11073,
title = {Formal models for relative adic spaces},
author = {Dimitri Dine},
journal= {arXiv preprint arXiv:2507.11073},
year = {2025}
}
Comments
54 pages, comments welcome!